2015-05-28 22:32:23 +05:30
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!--------------------------------------------------------------------------------------------------
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2016-02-29 18:56:06 +05:30
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!> @author Luv Sharma, Max-Planck-Institut für Eisenforschung GmbH
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!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
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2015-05-28 22:32:23 +05:30
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!> @brief material subroutine incorporating kinematics resulting from opening of cleavage planes
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!> @details to be done
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!--------------------------------------------------------------------------------------------------
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module kinematics_cleavage_opening
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2019-05-17 02:44:47 +05:30
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use prec
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use IO
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use config
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use debug
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use math
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use lattice
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use material
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2015-05-28 22:32:23 +05:30
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2019-05-28 15:36:21 +05:30
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implicit none
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private
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integer, dimension(:), allocatable :: kinematics_cleavage_opening_instance
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type :: tParameters !< container type for internal constitutive parameters
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integer :: &
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totalNcleavage
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integer, dimension(:), allocatable :: &
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Ncleavage !< active number of cleavage systems per family
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real(pReal) :: &
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sdot0, &
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n
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real(pReal), dimension(:), allocatable :: &
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critDisp, &
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critLoad
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2020-02-29 00:16:18 +05:30
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real(pReal), dimension(:,:,:,:), allocatable :: &
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cleavage_systems
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end type tParameters
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type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstance)
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2019-05-28 15:36:21 +05:30
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public :: &
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kinematics_cleavage_opening_init, &
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kinematics_cleavage_opening_LiAndItsTangent
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2015-05-28 22:32:23 +05:30
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contains
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!--------------------------------------------------------------------------------------------------
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!> @brief module initialization
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!> @details reads in material parameters, allocates arrays, and does sanity checks
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!--------------------------------------------------------------------------------------------------
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2019-05-17 02:44:47 +05:30
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subroutine kinematics_cleavage_opening_init
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2015-05-28 22:32:23 +05:30
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integer :: Ninstance,p,instance
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2020-01-10 05:58:32 +05:30
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write(6,'(/,a)') ' <<<+- kinematics_'//KINEMATICS_cleavage_opening_LABEL//' init -+>>>'; flush(6)
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Ninstance = count(phase_kinematics == KINEMATICS_cleavage_opening_ID)
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if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) &
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write(6,'(a16,1x,i5,/)') '# instances:',Ninstance
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allocate(kinematics_cleavage_opening_instance(size(config_phase)), source=0)
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allocate(param(Ninstance))
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do p = 1, size(config_phase)
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kinematics_cleavage_opening_instance(p) = count(phase_kinematics(:,1:p) == kinematics_cleavage_opening_ID)
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if (all(phase_kinematics(:,p) /= KINEMATICS_cleavage_opening_ID)) cycle
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associate(prm => param(kinematics_cleavage_opening_instance(p)), &
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config => config_phase(p))
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instance = kinematics_cleavage_opening_instance(p)
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prm%sdot0 = config%getFloat('anisobrittle_sdot0')
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prm%n = config%getFloat('anisobrittle_ratesensitivity')
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2020-02-29 11:09:16 +05:30
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prm%Ncleavage = config%getInts('ncleavage',defaultVal=emptyIntArray)
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prm%critDisp = config%getFloats('anisobrittle_criticaldisplacement',requiredSize=size(prm%Ncleavage))
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prm%critLoad = config%getFloats('anisobrittle_criticalload',requiredSize=size(prm%Ncleavage))
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prm%totalNcleavage = sum(prm%Ncleavage)
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prm%cleavage_systems = lattice_SchmidMatrix_cleavage (prm%Ncleavage,config%getString('lattice_structure'),&
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config%getFloat('c/a',defaultVal=0.0_pReal))
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! if (kinematics_cleavage_opening_sdot_0(instance) <= 0.0_pReal) &
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! call IO_error(211,el=instance,ext_msg='sdot_0 ('//KINEMATICS_cleavage_opening_LABEL//')')
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! call IO_error(211,el=instance,ext_msg='critical_displacement ('//KINEMATICS_cleavage_opening_LABEL//')')
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! if (any(kinematics_cleavage_opening_critLoad(1:size(tempInt),instance) < 0.0_pReal)) &
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! call IO_error(211,el=instance,ext_msg='critical_load ('//KINEMATICS_cleavage_opening_LABEL//')')
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! if (kinematics_cleavage_opening_N(instance) <= 0.0_pReal) &
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! call IO_error(211,el=instance,ext_msg='rate_sensitivity ('//KINEMATICS_cleavage_opening_LABEL//')')
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end associate
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enddo
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2015-05-28 22:32:23 +05:30
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end subroutine kinematics_cleavage_opening_init
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2015-05-28 22:32:23 +05:30
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!--------------------------------------------------------------------------------------------------
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2020-02-28 14:34:38 +05:30
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!> @brief contains the constitutive equation for calculating the velocity gradient
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2015-05-28 22:32:23 +05:30
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!--------------------------------------------------------------------------------------------------
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2019-02-13 04:26:04 +05:30
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subroutine kinematics_cleavage_opening_LiAndItsTangent(Ld, dLd_dTstar, S, ipc, ip, el)
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2019-05-28 15:36:21 +05:30
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integer, intent(in) :: &
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ipc, & !< grain number
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ip, & !< integration point number
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el !< element number
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real(pReal), intent(in), dimension(3,3) :: &
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S
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real(pReal), intent(out), dimension(3,3) :: &
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Ld !< damage velocity gradient
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real(pReal), intent(out), dimension(3,3,3,3) :: &
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dLd_dTstar !< derivative of Ld with respect to Tstar (4th-order tensor)
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integer :: &
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instance, phase, &
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homog, damageOffset, &
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i, k, l, m, n
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real(pReal) :: &
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traction_d, traction_t, traction_n, traction_crit, &
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udotd, dudotd_dt, udott, dudott_dt, udotn, dudotn_dt
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phase = material_phaseAt(ipc,el)
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instance = kinematics_cleavage_opening_instance(phase)
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homog = material_homogenizationAt(el)
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damageOffset = damageMapping(homog)%p(ip,el)
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Ld = 0.0_pReal
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dLd_dTstar = 0.0_pReal
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do i = 1,param(instance)%totalNcleavage
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traction_d = math_mul33xx33(S,param(instance)%cleavage_systems(1:3,1:3,1,i))
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traction_t = math_mul33xx33(S,param(instance)%cleavage_systems(1:3,1:3,2,i))
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traction_n = math_mul33xx33(S,param(instance)%cleavage_systems(1:3,1:3,3,i))
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traction_crit = param(instance)%critLoad(i)* &
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damage(homog)%p(damageOffset)**2.0_pReal
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udotd = &
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sign(1.0_pReal,traction_d)* &
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param(instance)%sdot0* &
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(max(0.0_pReal, abs(traction_d) - traction_crit)/traction_crit)**param(instance)%n
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if (abs(udotd) > tol_math_check) then
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Ld = Ld + udotd*param(instance)%cleavage_systems(1:3,1:3,1,i)
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dudotd_dt = sign(1.0_pReal,traction_d)*udotd*param(instance)%n/ &
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max(0.0_pReal, abs(traction_d) - traction_crit)
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forall (k=1:3,l=1:3,m=1:3,n=1:3) &
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dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) + &
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dudotd_dt*param(instance)%cleavage_systems(k,l,1,i)* &
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param(instance)%cleavage_systems(m,n,1,i)
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endif
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udott = &
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sign(1.0_pReal,traction_t)* &
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param(instance)%sdot0* &
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(max(0.0_pReal, abs(traction_t) - traction_crit)/traction_crit)**param(instance)%n
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if (abs(udott) > tol_math_check) then
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Ld = Ld + udott*param(instance)%cleavage_systems(1:3,1:3,2,i)
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dudott_dt = sign(1.0_pReal,traction_t)*udott*param(instance)%n/ &
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max(0.0_pReal, abs(traction_t) - traction_crit)
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forall (k=1:3,l=1:3,m=1:3,n=1:3) &
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dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) + &
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dudott_dt*param(instance)%cleavage_systems(k,l,2,i)* &
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param(instance)%cleavage_systems(m,n,2,i)
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endif
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udotn = &
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sign(1.0_pReal,traction_n)* &
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param(instance)%sdot0* &
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(max(0.0_pReal, abs(traction_n) - traction_crit)/traction_crit)**param(instance)%n
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if (abs(udotn) > tol_math_check) then
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Ld = Ld + udotn*param(instance)%cleavage_systems(1:3,1:3,3,i)
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dudotn_dt = sign(1.0_pReal,traction_n)*udotn*param(instance)%n/ &
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max(0.0_pReal, abs(traction_n) - traction_crit)
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forall (k=1:3,l=1:3,m=1:3,n=1:3) &
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dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) + &
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dudotn_dt*param(instance)%cleavage_systems(k,l,3,i)* &
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param(instance)%cleavage_systems(m,n,3,i)
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endif
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enddo
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2015-05-28 22:32:23 +05:30
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end subroutine kinematics_cleavage_opening_LiAndItsTangent
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end module kinematics_cleavage_opening
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